Finding Limits

Ok so I'm used to using graphs to find limits, but I can't use a calculator for this..I need to learn the equation way of doing it
1. lim as x--> 8 x^2 - 9x + 8 / x^2 - 10x +16
im bad at simplifying algebra so if someone could step by step with explanations that would help..i realize that as it approaches 8 the equation turns into 0/0 but what does that mean in terms of its limit

2. lim as x --> 3+ x^2 + 2x + 1 / x^2 - 2x - 3
i just dont get how to do it without graphs...

EDIT:
3x^3 - 12x^2 + 9x / 2x^3 - 12x^2 + 18x as x --> 0

same: as x --> +infinity

same: as x --> 3

and i can use my calc for this one below..am i right?
lim as x--> 3 (2^x) - 8 / x-3 is it +infinity

Ok so I'm used to using graphs to find limits, but I can't use a calculator for this..I need to learn the equation way of doing it
1. lim as x--> 8 x^2 - 9x + 8 / x^2 - 10x +16
im bad at simplifying algebra so if someone could step by step with explanations that would help..i realize that as it approaches 8 the equation turns into 0/0 but what does that mean in terms of its limit

2. lim as x --> 3+ x^2 + 2x + 1 / x^2 - 2x - 3
i just dont get how to do it without graphs...